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Finding the Third Proportional to 277,437 and 654,522

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Solution

The third proportional to 277,437 and 654,522 is: 1,544,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,437 : 654,522 = 654,522 : x
  2. Step 2: Convert to fraction form
    277,437/654,522 = 654,522/x
  3. Step 3: Cross multiply
    277,437x = 654,522 × 654,522
  4. Step 4: Simplify right side
    277,437x = 428,399,048,484
  5. Step 5: Solve for x
    x = 428,399,048,484/277,437
  6. Step 6: Final answer
    x = 1,544,130.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.